The modulus of elasticity is one of the major parameters satisfying well bore stability and it has been modelled to account for this purpose in the A3-Field of the Niger Delta Basin. Three different suites of logs (Q, R and S) were available for this research. Microsoft Excel was used for the data processing and computation of results after due process had been taken to free the data from noise. The results obtained from the three separate data yield log 𝐸𝑠 = 2.4292 log 𝐸 from well Q, log 𝐸𝑠 = 2.4314 log 𝐸 from well R and log 𝐸𝑠 = 2.4339 log 𝐸 from well S. The parameter P, chosen as the local fit constant, shows almost sameness and as such averaged as 2.4315. If the dynamic young’s modulus is known, then log 𝐸𝑠 = 2.4315 log 𝐸 is adequate for computation of static young’s modulus. This result had been tested with the model from Bradford approach although very slight deviation is noted. Bradford case study excluded Niger Delta Basin which could be the reason for this. The coefficients of determination of the three relations strongly established the advantage of P value obtained from this finding. The differences in the coefficients of determination show that this research finding improves the outcome when compared to Bradford constant by 0.0169 for well Q, 0.0031 for well R, 0.0241 for well S, in the Niger Delta basin. These differences are appreciable results needed for accurate prediction of brittleness and stability parameter and development of the oil wells.